To find the area of the base of a right rectangular prism, you can use the formula for the volume:
\[ V = \text{Base Area} \times \text{Height} \]
Given that the volume \( V \) is 50 cubic units and the height is 2 units, you can rearrange the formula to solve for the base area:
\[ \text{Base Area} = \frac{V}{\text{Height}} \]
Substituting the given values:
\[ \text{Base Area} = \frac{50 \text{ cubic units}}{2 \text{ units}} = 25 \text{ square units} \]
Therefore, the area of the base is 25 square units.